All categories

2 years ago

Number 3.

Mathematics

1 answer:

Sergio039 [100]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

∠ PQX = 90° ( angle in a semicircle )

∠ PXQ = 42° ( alternate angle theorem )

Angle between tangent and diameter is right, thus

∠ XPQ = 90° - 42° = 48°

You might be interested in

Suppose that 7% of the general population has a disease and that the test for the disease is accurate 70% of the time. What is t

strojnjashka [21]

You have a 4.9 percent chance of testing positive. Hope this helped!

4 0

3 years ago

Read 2 more answers

Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

One roll of carpet covers 900 square feet. how many rolls of carpet would be needed for a room that is 40ft. x 60ft.?

harina [27]

3 rolls of carpet

the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up

7 0

3 years ago

Read 2 more answers

Expand ( 2 − x ) 5 and identify each part of the expression.

dimaraw [331]

You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.

8 0

3 years ago

Which of the following,is a factor of 3x^2-9x^2+3x

Savatey [412]

Answer:

-3x(x-1)

Step-by-step explanation:

-6x^2 +3x

-3x(x-1)

Hope this helps!

If you think i helped, please mark brainliest! Would really appreciate!

5 0

3 years ago